# 4th Grade - Say Outcomes Using Words And Numbers

 Grade Level: 4th Skill: Fractions and Probability Topic: Say Outcomes Using Words and Numbers Goal: Express outcomes of experimental probability situations verbally and numerically. Skill Description: Explain the results of an occurrence by using fractions, determining its possibility, and deciding if the options are fair in a situation.

## Building Blocks/Prerequisites

### Sample Problems

(1)

Write the probability as a fraction:

What is the probability that my spinner will land on red? ______

(2)

Use the table to write the probability as a fraction:

Jerry’s Experiment

 Color Blue Red Yellow Green Purple Orange Outcome 5 8 2 1 3 6

What is the probability of the spinner landing on blue? _____ (5/25 or 1/5)

(3)

Test for fairness:

If the spinner was used in a game, would it be fair? _______ (yes)

(4)

A number cube has 2, 2, 4, 5, 6, and 6. Which numbers will the number cube most likely land on? (2 or 6)

(5)

Use the number line to make a decision:

Number line to determine the probability of an event:

Impossible Less Likely Equally Likely More Likely Certain

--׀---------------׀----------------׀----------------׀----------------׀--

0 ¼ ½ ¾ 1

A box with 8 letters that are vowels and 4 letters that are consonants. How likely will it be that I choose a vowel? 8/12 or 2/3 (more likely)

### Learning Tips

 (1) Marbles In A Bag Get a color assortment of marbles (red, blue, green, swirls, etc.) and count the number of marbles for each color, then count the total number of marbles. Have your child practice writing the fraction for the part (# of marbles for a color) and whole (total marbles). Once the numbers have been determined, relate the fractions to probability. The color with the most marbles will have a higher probability of being chosen out of the bag, than the color with the least marbles. Try it out and see if you’re right. (2) Dice Use a die (number cube) to explain how the probability of choosing a number 1- 6 is equal because they are only on the cube once. If we changed it (cover one side with paper and place two dots) and made one side the same as another side the probability will no longer be equal. Make a prediction with equal probability and unequal probability. Then, chart your outcomes to confirm your predictions. (3) Review fractions Numerator = part Denominator = whole Probability: Numerator = choice of outcome Denominator = total # of possible outcomes Practice writing fractions using figures: Which part of the figure is shaded (write with fraction) (4) Math vocabulary: Numerator- tells how many of the equal parts of the whole or group are being considered Denominator- tells the total number of equal parts or groups into which the whole or group has been divided. Probability- the number of favorable outcomes compared to the number of possible outcomes. Fairness- the possible outcomes are equal. Outcomes- the result of an experiment (5) Number line to determine the probability of an event: Impossible Less Likely Equally Likely More Likely Certain ‹--׀---------------׀----------------׀----------------׀----------------׀--› 0 ¼ ½ ¾ 1 The probability of an event occurring is expressed between 0 and 1. For example, pulling a red marble is 2/6 – simplified to 1/3 (less likely)

### Extra Help Problems

(1)

Write the probability as a fraction (use simplest form):

What is the probability that my spinner will land on yellow? ______ (2/6 or 1/3)

(2)

Write the probability as a fraction (use simplest form):

What is the probability that my spinner will land on purple? ______ (3/6 or ½)

(3)

Write the probability as a fraction:

What is the probability that my spinner will land on green and blue? ______ (2/8 or ¼)

(4)

Write the probability as a fraction:

What is the probability that my spinner will land on red? ______ (1/8)

(5)

Write the probability as a fraction:

What is the probability that my spinner will land on D? ______ (3/8)

(6)

Write the probability as a fraction:

What is the probability that my spinner will land on C? ______ (1/8)

(7)

Use the table to write the probability as a fraction:

Rolling the Dice

 Outcome 1 2 3 4 5 6 Tally \\\\ \\\ \\ \\\\ \ \\\\ \\ \\\

What is the fraction of rolling the die on an even number? _____ (12/25)

(8)

Use the table to write the probability as a fraction:

Pull Out the Marbles

 Outcome Blue Red Green Yellow Frequency 3 2 1 4

What was the fraction of pulling out a yellow marble? _____ (4/10 or 2/5)

(9)

Is the spinner fair? Explain. ________________________________

(No, there are more letters than others)

(10)

Is the spinner fair? Explain. _____________________________

(yes, the areas are even and they are all different colors)

(11)

Is the spinner fair? Explain. ______________________________

(no, the areas are not even)

(12)

The probability of selecting an even number:

Is the spinner fair or not fair? __________ (not fair)

(13)

The probability of selecting a 2 or 7?

Is the spinner fair or not fair? ______________ (fair)

(14)

Determine the probability of an event occurring:

Impossible Less Likely Equally Likely More Likely Certain

--׀---------------׀----------------׀----------------׀----------------׀--

0 ¼ ½ ¾ 1

Rolling an odd number on a die: ______

(3/6 or 1/2 – equally likely)

(15)

Determine the probability of an event occurring:

Impossible Less Likely Equally Likely More Likely Certain

--׀---------------׀----------------׀----------------׀----------------׀--

0 ¼ ½ ¾ 1

Drawing a black card from a deck of cards: _________

(26/52 or ½ - equally likely)

(16)

Determine the probability of an event occurring:

Impossible Less Likely Equally Likely More Likely Certain

--׀---------------׀----------------׀----------------׀----------------׀--

0 ¼ ½ ¾ 1

A bag has 5 purple marbles, 5 green marbles, 5, red marbles and 3 yellow marbles. Pulling out a yellow marble? ______

(3/18 or 1/6- less likely)

(17)

Determine the probability of an event occurring:

Impossible Less Likely Equally Likely More Likely Certain

--׀---------------׀----------------׀----------------׀----------------׀--

0 ¼ ½ ¾ 1

The following coins are put into a bag: 2 quarters, 3 dimes, 4 nickels and 5 pennies. What is the probability of pulling out 2 quarters? ______

(2/14 or 1/7- less likely)

(18)

Determine the probability of an event occurring:

Impossible Less Likely Equally Likely More Likely Certain

--׀---------------׀----------------׀----------------׀----------------׀--

0 ¼ ½ ¾ 1

A jar contains 13 green marbles. What is the probability of choosing a blue marble? ______

(0- impossible)

(19)

My probability is ½ what is my color: _________ (purple)

(20)

My probability is more likely. What is my letter ________ (D)

(21)

A die has six sides with 2, 2,1,8,2, and 4. What is the probability that it will land on an even number? ______

(5/6)

(22)

Cards with the alphabet are put into a bag. What is the probability that a consonant will be pulled out? _________ (21/26)

(23)

Cards with the alphabet are put into a bag. What is the probability that a vowel will be pulled out? _______ (5/26)

(24)

There are 20 balls in the shed. 5 are blue, 2 are green, 7 are white, and the rest are red.

What is the probability that the ball chosen is red? _______ (6/20 or 3/10)

(25)

When would you need to determine the probability of an outcome? ______________________________ (answers will vary)